Egri chiziqli integrallar va ularning tatbiqlari

Ostrogradskiy - Grin formulasi mavzusiga doir test savollari.

1. 
   Ostrogradskiy - Grin formulasini ko‘rsating
   

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2. 
   Integralni Ostrogradskiy - Grin formulasidan foydalanib hisoblang
   

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3. 
   Integral ostidagi ifoda to‘liq differensial bo‘lsa, integralni hisoblang
   

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   b) c) d)
   

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   Ostrogradskiy-Grin formulasini ko‘rsating
   

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d)

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   Integralni hisoblang
   

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   10 b) 15 c) 12 d) 18
   

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   ellips bilan chegaralangan tekis figura yuzasini hisoblang.
   

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   b) c) d)
   

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   Agar bo‘lsa, integral qiymati integrallash yo‘liga bog‘liq bo‘ladimi?
   

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   ha b) yo‘q
   

8. 
   Agar C egri chiziq ellipsning yuqori yarim tekislikdagi qismi bo’lsa, quyidagi integralni hisoblang.
   

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   –
   
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   – 4
   

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   Agar C egri chiziq ellipsning yuqori yarim tekislikdagi qismi bo’lsa, quyidagi integralni hisoblang.
   

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10. 
    C - (0,0), (1,1) nuqtalarni birlashtiruvchi y=x² parabola bo’lsa, integralni hisoblang.
    

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